Best Known (246−114, 246, s)-Nets in Base 4
(246−114, 246, 130)-Net over F4 — Constructive and digital
Digital (132, 246, 130)-net over F4, using
- t-expansion [i] based on digital (105, 246, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(246−114, 246, 220)-Net over F4 — Digital
Digital (132, 246, 220)-net over F4, using
(246−114, 246, 2872)-Net in Base 4 — Upper bound on s
There is no (132, 246, 2873)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12958 627119 235643 814389 037224 345365 429513 670546 345043 695782 249404 786757 585695 180244 347050 840214 018757 522426 252778 200692 293820 511377 760636 619923 437508 > 4246 [i]